y^{''}-y^'+121y=11sin(11t)

解答

y^{^{''}} - y^{^{'}} + 121 y = 11 sin (11 t)

y = e^{\frac{t}{2}} (c_{1} cos (\frac{483 t}{2}) + c_{2} sin (\frac{483 t}{2})) + cos (11 t)

求解步骤

y^{''} (t) - y^{'} (t) + 121 y = 11 sin (11 t)

求解线性方程:

y = e^{\frac{t}{2}} (c_{1} cos (\frac{483 t}{2}) + c_{2} sin (\frac{483 t}{2})) + cos (11 t)

y = e^{\frac{t}{2}} (c_{1} cos (\frac{483 t}{2}) + c_{2} sin (\frac{483 t}{2})) + cos (11 t)

\int \frac{1}{x x - 2} d x

y^{^{''}} + 4 y^{^{'}} + 4 y = e^{2 x}

\int \frac{1}{x + 1} d x

ma c l a u r in x e^{x^{2}}

\int_{1}^{x} sec (t) d t